If you are microblading to put on some brows, I would be sure that the Botox is fully functional so you can achieve the best shape possible when your brows have been lifted by your Botox.
I believe that it is ok to have the treatment 1 week after Botox. I am not sure of the exact time that it is safe because I have had a patient that had migration of the Botox when a Fraxel was done 24 hours after Botox. I used to say after 4 hours, it is ok to have any procedure. Now I wait at least a few days.